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#1 2009-05-26 04:53:46

LuisRodg
Real Member
Registered: 2007-10-23
Posts: 322

nth root of n is irrational proof

Now, in the case that n is prime, the contradiction easily follows that n divides both p and q. What about the case where n is non-prime?

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#2 2009-05-27 10:55:31

Avon
Member
Registered: 2007-06-28
Posts: 80

Re: nth root of n is irrational proof

and p and q are coprime so we must have

so n is not the nth power of an integer.

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